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51. If x = 5 + 2/6 , then the valu

Answer»

Let : x = 5 + 2√6.

Then : x = 3 + 2 + 2√((3)(2))

∴ x = (√3)² + (√2)² + 2(√3)(√2) = (√3 + √2)²

∴ √x = √3 + √2 ............................. (1)

∴ 1/(√x) = 1/(√3 + √2) = √3 - √2 ......... (2)

∴ (√x) + (1/√x) = 2√3


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